Answer:
1.) 20z^5
2.) 8m^5 · 6p^7 · 3mp^0
Step-by-step explanation:
4z^3 · z^2 · 5z
first, multiply 4z · 1z = 4z and add the exponents 3 + 2 = 5
4z^5 · 5z
multiply 4z · 5z and keep the exponents
20z^5
2m^3p^4 · 4m^2p^3 · 3mp^0
find just the "m" variables: 2m^3 · 4m^2 and same as before multiply then add the exponents = 8m^5
now do the same for the "p" variables: 3p^4 · 2p^3 = 6p^7
and for the "mp" variable: 3mp^0
put it all together and this is the simplest form because we don;t know the values of the variables:
8m^5 · 6p^7 · 3mp^0
Hope this helps! If you have any additional questions please don't hesitate to ask me or your teacher to be sure you master the subject. :) Stay safe and please mark brainliest!
You have a fractions, so the only thing you must be sure of is that the denominator is not zero.
In your case, the denominator is given by the function <span><span>f<span>(w)</span></span>=3<span>w9</span></span>. You need to find out the values of w for which <span><span>f<span>(w)</span></span>=0</span>. You have
<span><span>f<span>(w)</span></span>=0⇔3<span>w9</span>=0⇔<span>w9</span>=0⇔w<span>=9</span><span>√0</span>=0</span>
So, your only problem is <span>w=0</span>, and all other numbers are fine.
Your domain is thus given by the set <span>{x∈R∣x≠0}</span>
The domain can also be written as <span><span>(−∞,0)</span>∪<span>(0,+∞)</span></span>.
Answer:
4x+11
Step-by-step explanation:
3 times 2x equals 6x
3 times 7 equals 21
(put that together) = 6x+21
2 times x equals 2x
2 times 5 equals 10
(put that together) = 2x+10
(put both of those equations together) = 6x+21-2-10 (minus 10 because u r subtracting 2+10 from 6x+21, so u have to subtract 2-10)
group the x's together.
so it would equal 6x-2x=4x+21-10
21-10 equals 11
so, answer is 4x+11
hope this helps. sorry if I didn't quite explain this so well, I'm not good with explaining how I got my work
Answer:
5 years
Step-by-step explanation:
Since the tree grows 4 feet every single year and the second year it was 12 feet tall then that means that when you bought the tree it was 8 feet tall (12-4 = 8). Therefore, using these values we can write an equation to calculate the number of years it will take for the height of the tree to be 28 feet. We do this by multiplying 4ft by the variable of a number of years (x) and then adding that product to 8ft which is the initial height. All of which should add up to 28 ft.
28 ft. = 8 ft. + 4x ... subtract both sides by 8
20 ft. = 4x ... divide both sides by 4
5 years = x
Therefore, it will take 5 years from the initial purchase for the tree to be 28ft tall.
Answer:
Step-by-step explanation:
What's inside the set of parenthesis is a description of the angle in terms of cos and sin. This says that the angle has a cos of square root of 3 over 2, and a sin of negative 1 over 2.
The cos of this angle is the line directly horizontal ON the x axis, since cos is the same as x.
The sin of this angle is the line that would be there if you dropped an altitude from the arrow on the x line to the arrow on the other line.
The tangent ratio, being side opposite over side adjacent will give us the angle we need. Use the inverse tangent and enter in those values and you'll get that the angle is -30.
OR
even easier than that, look at your unit circle to see where there is a cos, sin combination of those values. It will be located at -30 degrees, which is also 330 degrees.
